1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
insens350 [35]
2 years ago
14

Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the lengt

h of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Mathematics
1 answer:
brilliants [131]2 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

You might be interested in
You are riding the swings at a fair. What are the coordinates of your location after a rotation of 180°?
nekit [7.7K]

Answer:

(6, -3)

Step-by-step explanation:

The actual coordinates are x = -6 and y = 3

If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.

So the final x-coordinate is - (-6) = 6

And the final y-coordinate is - (3) = -3

So the coordinates will be (6, -3).

5 0
3 years ago
PLEASE HELPPPP this is my last option
mario62 [17]

Answer:

It's the first option! :)

Step-by-step explanation:

2x + 2k = m, right?

So, to bring 2k alone, we'll subtract 2x.

2k = m - 2x

Now, we'll divide both sides by 2! ^ _ ^

k = (m - 2x) / 2

That's pretty much just the (1)st option! :)

4 0
2 years ago
Read 2 more answers
A new shoe comes in two colors,black or red,and in sizes 5 to 12,including half sizes.If a pair of the shoes is chosen at random
Dima020 [189]
Less then 50% thats foshow
5 0
2 years ago
Solve for p.<br> -p - 1 = 5 - 9p + 10p
Darina [25.2K]

Answer:

p= 1/3 or 0.33 repeating

Step-by-step explanation:

5-19p=-p-1

5=18p-1

6=18p

divide by 18

6/18 = 1/3 or 0.33 repeating

5 0
3 years ago
Read 2 more answers
before leavibg ri visit mexico levabt traded 270 american dollars and received 3000 mexican pesos. when he returned from Mexico
marta [7]
The answer is 1111.111111
8 0
3 years ago
Other questions:
  • Does the commutative property of addition apply when you add two negative integers? Explain.
    7·1 answer
  • Evaluate 3 to the 2nd power + (8-2)•4-6/3
    10·1 answer
  • What is the abbreviation for SI unit of mass
    14·2 answers
  • Karen earned $33 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 10 hours at the sa
    11·2 answers
  • You need to put your reindeer, Lancer, Prancer, Gloopin, and Bloopin, in a single-file line to pull your sleigh. However, Prance
    14·2 answers
  • Plz answer ASAP!
    6·1 answer
  • A circle is cut from a square piece of cloth, as shown: A square, one side labeled as 42 inches has a circle inside it. The circ
    9·2 answers
  • Please help<br><br> Find the value of x,<br> m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26
    6·1 answer
  • Which situation is most likely to have a constant rate of change?
    5·1 answer
  • Please help with this!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!